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Finding the Fourth Proportional to 238,543.91, 357,859.75 and 78,629.34

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Solution

The fourth proportional to 238,543.91, 357,859.75 and 78,629.34 is: 117,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,543.91 : 357,859.75 = 78,629.34 : x
  2. Step 2: Convert to fraction form
    238,543.91/357,859.75 = 78,629.34/x
  3. Step 3: Cross multiply
    238,543.91x = 357,859.75 × 78,629.34
  4. Step 4: Simplify right side
    238,543.91x = 28,138,275,955.07
  5. Step 5: Solve for x
    x = 28,138,275,955.07/238,543.91
  6. Step 6: Final answer
    x = 117,958.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.